Multifractality and the Kauffman model
- 21 September 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (18) , L899-L902
- https://doi.org/10.1088/0305-4470/21/18/006
Abstract
The author simulates the spread of an initial damage in the Kauffman cellular automata at its critical point on the square lattice. He calculates various moments of the probability that a site has been damaged n times and checks for multifractality in the critical exponents for different ensembles. Specifically he finds no evidence for multifractality when the moments of the probabilities are evaluated with lattice size, L, but multifractal behaviour occurs when the moments are monitored as a function of time, t.Keywords
This publication has 16 references indexed in Scilit:
- Growth Probability Distribution in Kinetic Aggregation ProcessesPhysical Review Letters, 1986
- Fractal measures and their singularities: The characterization of strange setsPhysical Review A, 1986
- Surfaces, interfaces, and screening of fractal structuresPhysical Review A, 1985
- Nonlinear resistor fractal networks, topological distances, singly connected bonds and fluctuationsJournal of Physics A: General Physics, 1985
- Flicker () Noise in Percolation Networks: A New Hierarchy of ExponentsPhysical Review Letters, 1985
- Anomalous voltage distribution of random resistor networks and a new model for the backbone at the percolation thresholdPhysical Review B, 1985
- On the multifractal nature of fully developed turbulence and chaotic systemsJournal of Physics A: General Physics, 1984
- Dimensions and entropies of strange attractors from a fluctuating dynamics approachPhysica D: Nonlinear Phenomena, 1984
- The infinite number of generalized dimensions of fractals and strange attractorsPhysica D: Nonlinear Phenomena, 1983
- Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrierJournal of Fluid Mechanics, 1974